Order of Operations

Front

What is the Order of Operations in mathematics?

Back

The Order of Operations is a set of rules that determines the sequence in which operations should be performed in a mathematical expression. The common acronym used to remember the order is PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What operation should be performed first in the expression 10 - 4 ÷ 1 · 5?

Back

Division should be performed first.

Front

In the expression (2x8)-9+7, what is the first step according to the Order of Operations?

Back

The first step is to perform the multiplication (2x8) which equals 16.

Front

What is the result of the expression 30 - 7 x 4?

Back

The result is 2, calculated by performing the multiplication first (7x4=28), then subtracting from 30.

Front

In the expression 2 · (15 - 2) ÷ 5, which operation is performed first?

Back

Subtraction is performed first, calculating (15 - 2) = 13.

Front

What is the result of the expression 24x(4-2)÷6?

Back

The result is 8, calculated by first solving the parentheses (4-2=2), then multiplying (24x2=48), and finally dividing (48÷6=8).

Front

Why is it important to follow the Order of Operations?

Back

Following the Order of Operations is crucial to ensure that mathematical expressions are evaluated consistently and correctly, leading to the same result regardless of who performs the calculation.

Front

What does the acronym PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

How do you handle multiplication and division in the Order of Operations?

Back

Multiplication and division are performed from left to right, meaning you perform whichever comes first as you read the expression.

Front

How do you handle addition and subtraction in the Order of Operations?

Back

Addition and subtraction are also performed from left to right, similar to multiplication and division.